Journal of Jishou University(Natural Sciences Edition)

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Strong Convergence of Iterative Algorithms for a Class of Generalized Variational Inequality Problems in Banach Spaces

ZENG Yan,CHEN Guoping   

  1. (1.College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China;2.No.1 Middle School of Jishou City,Jishou 416000,Hunan China)
  • Online:2017-07-25 Published:2017-08-01


In this paper,we disscuss a class of generalized variational inequality problems involved in strictly pseudo-contractive mapping in Banach spaces by using some new algorithms which couple modified extra-gradient method with extended Mann iteration.It is proved that the sequences generated by the proposed iterative algorithms converge strongly to the solution of the generalized variational inequality problem.The results presented in this paper extend and improve some well-known results in the literature.

Key words: extra-gradient method, generalized variational inequality problems, iterative algorithm, strong convergence

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